1646900520

In this Precalculus Course's video, we will learn the Dilating shapes: shrinking

Draw the image of the triangle under a dilation with scale factor 1/4 about the center of dilation on the coordinate plane.

We're told draw the image of triangle ABC under a dilation whose center is P and scale factor is 1/4. And what we see here is the widget on Khan Academy where we can do that. So we have this figure, this triangle ABC, A, B, C, right over here, and what we wanna do is dilate it, so that means scaling it up or down, and the center of that dilation is this point P. So one way to think about it is let's think about the distance between point P and each of these points, and we wanna scale it by 1/4. So the distance is going to be 1/4 of what it was before. So, for example, this point right over here, if we just even look diagonally from P to A, we can see that we are crossing one square, two squares, three squares, four squares. So if we have a scale factor of 1/4, instead of crossing four squares diagonally, we would only cross one square diagonally. So I'll put the corresponding point to A right over there. Now, what about for point C? It's not quite as obvious, but one way we could think about it is we can think about how far are we going horizontally from P to C, and then how far do we go vertically? So horizontally, we're going one, two, three, four, five, six, seven, eight of these units, and then vertically we're going one, two, three, four. So we're going to the left eight and up four. Now, if we have a scale factor of 1/4, we just multiply each of those by 1/4. So instead of going to the left eight, we would go to the left two. Eight times 1/4 is two. Instead of going up four, we would go up one. So this would be the corresponding point to point C. And then we'll do the same thing for point B. When we go from P to B, we're going one, two, three, four, five, six, seven, eight up, and we're going four to the left. So if we have a scale factor of 1/4, instead of going eight up, we'll go two up, and instead of going four to the left, we'll go one to the left. So there you have it. We have just dilated triangle ABC around point P with a scale factor of 1/4, and we are done.

1646900520

In this Precalculus Course's video, we will learn the Dilating shapes: shrinking

Draw the image of the triangle under a dilation with scale factor 1/4 about the center of dilation on the coordinate plane.

We're told draw the image of triangle ABC under a dilation whose center is P and scale factor is 1/4. And what we see here is the widget on Khan Academy where we can do that. So we have this figure, this triangle ABC, A, B, C, right over here, and what we wanna do is dilate it, so that means scaling it up or down, and the center of that dilation is this point P. So one way to think about it is let's think about the distance between point P and each of these points, and we wanna scale it by 1/4. So the distance is going to be 1/4 of what it was before. So, for example, this point right over here, if we just even look diagonally from P to A, we can see that we are crossing one square, two squares, three squares, four squares. So if we have a scale factor of 1/4, instead of crossing four squares diagonally, we would only cross one square diagonally. So I'll put the corresponding point to A right over there. Now, what about for point C? It's not quite as obvious, but one way we could think about it is we can think about how far are we going horizontally from P to C, and then how far do we go vertically? So horizontally, we're going one, two, three, four, five, six, seven, eight of these units, and then vertically we're going one, two, three, four. So we're going to the left eight and up four. Now, if we have a scale factor of 1/4, we just multiply each of those by 1/4. So instead of going to the left eight, we would go to the left two. Eight times 1/4 is two. Instead of going up four, we would go up one. So this would be the corresponding point to point C. And then we'll do the same thing for point B. When we go from P to B, we're going one, two, three, four, five, six, seven, eight up, and we're going four to the left. So if we have a scale factor of 1/4, instead of going eight up, we'll go two up, and instead of going four to the left, we'll go one to the left. So there you have it. We have just dilated triangle ABC around point P with a scale factor of 1/4, and we are done.

1593242571

Techtutorials tell you the best online IT courses/training, tutorials, certification courses, and syllabus from beginners to advanced level on the latest technologies recommended by Programming Community through video-based, book, free, paid, Real-time Experience, etc.

#techtutorials #online it courses #mobile app development courses #web development courses #online courses for beginners #advanced online courses

1672736040

Our MLOps Zoomcamp course

Teach practical aspects of productionizing ML services — from collecting requirements to model deployment and monitoring.

Data scientists and ML engineers. Also software engineers and data engineers interested in learning about putting ML in production.

- Python
- Docker
- Being comfortable with command line
- Prior exposure to machine learning (at work or from other courses, e.g. from ML Zoomcamp)
- Prior programming experience (at least 1+ year)

Course start: 16 of May

The best way to get support is to use DataTalks.Club's Slack. Join the `#course-mlops-zoomcamp`

channel.

To make discussions in Slack more organized:

- Follow these recommendations when asking for help
- Read the DataTalks.Club community guidelines

- What is MLOps
- MLOps maturity model
- Running example: NY Taxi trips dataset
- Why do we need MLOps
- Course overview
- Environment preparation
- Homework

- Experiment tracking intro
- Getting started with MLflow
- Experiment tracking with MLflow
- Saving and loading models with MLflow
- Model registry
- MLflow in practice
- Homework

- Workflow orchestration
- Prefect 2.0
- Turning a notebook into a pipeline
- Deployment of Prefect flow
- Homework

- Three ways of model deployment: Online (web and streaming) and offline (batch)
- Web service: model deployment with Flask
- Streaming: consuming events with AWS Kinesis and Lambda
- Batch: scoring data offline
- Homework

- Monitoring ML-based services
- Monitoring web services with Prometheus, Evidently, and Grafana
- Monitoring batch jobs with Prefect, MongoDB, and Evidently

- Testing: unit, integration
- Python: linting and formatting
- Pre-commit hooks and makefiles
- CI/CD (Github Actions)
- Infrastructure as code (Terraform)
- Homework

- End-to-end project with all the things above

- CRISP-DM, CRISP-ML
- ML Canvas
- Data Landscape canvas
- MLOps Stack Canvas
- Documentation practices in ML projects (Model Cards Toolkit)

(In October)

- Larysa Visengeriyeva
- Cristian Martinez
- Kevin Kho
- Theofilos Papapanagiotou
- Alexey Grigorev
- Emeli Dral
- Sejal Vaidya

- Machine Learning Zoomcamp - free 4-month course about ML Engineering
- Data Engineering Zoomcamp - free 9-week course about Data Engineering

**I want to start preparing for the course. What can I do?**

If you haven't used Flask or Docker

- Check Module 5 from ML Zoomcamp
- The section about Docker from Data Engineering Zoomcamp could also be useful

If you have no previous experience with ML

- Check Module 1 from ML Zoomcamp for an overview
- Module 3 will also be helpful if you want to learn Scikit-Learn (we'll use it in this course)
- We'll also use XGBoost. You don't have to know it well, but if you want to learn more about it, refer to module 6 of ML Zoomcamp

**I registered but haven't received an invite link. Is it normal?**

Yes, we haven't automated it. You'll get a mail from us eventually, don't worry.

If you want to make sure you don't miss anything:

- Register in our Slack and join the
`#course-mlops-zoomcamp`

channel - Subscribe to our YouTube channel

**Is it going to be live?**

No and yes. There will be two parts:

- Lectures: Pre-recorded, you can watch them when it's convenient for you.
- Office hours: Live on Mondays (17:00 CET), but recorded, so you can watch later.

**I just joined. Can I still get a certificate?**

- To get a certificate, you need to complete a project
- There will be two attempts to do a project
- First: in July, second: in August
- If you manage to finish all the materials till August, and successfully finish the project, you'll get the certificate

- Sign up here: https://airtable.com/shrCb8y6eTbPKwSTL (it's not automated, you will not receive an email immediately after filling in the form)
- Register in DataTalks.Club's Slack
- Join the
`#course-mlops-zoomcamp`

channel - Tweet about the course!
- Subscribe to the public Google calendar (subscription works from desktop only)
- Start watching course videos! Course playlist
- Technical FAQ
- For announcements, join our Telegram channel
- Leaderboard

Author: DataTalksClub

Source Code: https://github.com/DataTalksClub/mlops-zoomcamp

1646922360

In this Precalculus Course's video, we will learn the Dilations and shape properties

- [Instructor] What we're going to do in this video is think about how shapes' properties might be preserved or not preserved from dilations and so here we have this quadrilateral and we're going to dilate it about point P here and I have this little Dilation tool. So the first question is are the coordinates of the vertices going to be preserved? Well, pause the video and try to think about that. Let's just try it out experimentally. We can see under an arbitrary dilation here, the coordinates are not preserved. The point that corresponds to D now has a different coordinate. The vertices, the vertex that corresponds to A now has different coordinates. Same thing for B and C. The corresponding points after the dilation now sit on a different part of the coordinate plane. So in this case, the coordinates of the vertices are not preserved. Now, the next question, let me go back to where we were. So the next question, the corresponding line segments after dilation, are they sitting on the same line and so let me dilate again and so you can see if you consider this point B prime 'cause it corresponds to point B, the segment B prime C prime, this does not sit on the same line as BC but the segment D prime, the corresponding line segment to line segment AD, that does sit on the same line and if you think about why that is, well, if we originally draw a line that, if we look at the line that contains segment AD, it also goes through point P and so as we expand out, this segment right over here is going to expand and shift outward along the same lines but that's not going to be true of these other segments because they don't, because the point P does not sit on the line that those segments sit on and so let's just expand it again so you see that right over there. Now, the next question, are angle measures preserved? Well, it looks like they are and this is one of the things that is true about a dilation is that you're going to preserve angle measures. This angle is still a right angle. This angle here, I guess you can call it angle, the measure of angle B is the same as the measure of angle B prime and you can see it with all of these points right over there and then the last question. Are side lengths, perimeter and area preserved? Well, we can immediately see as we dilate outwards, for example, the segment corresponding to AD has gotten longer. In fact, if we dilate outwards, all of the segments, the corresponding segments are getting larger and if they're all getting larger then the perimeter's getting larger and the area's getting larger. Likewise, if we dilate in like this, they're all getting smaller. So side lengths, perimeter and area are not preserved. Now, let's ask the same questions with another dilation and this is going to be interesting because we're going to look at a dilation that is centered at one of the vertices of our shape. So let me scroll down here and so I have the same tool again and now here we have a triangle, triangle ABC and we're gonna dilate about point C. So first of all, do we think the vertices, the coordinates of the vertices are going to be preserved? Let's dilate out. Well, you can see point C is preserved. When it gets mapped after the dilation, it sits in the exact same place but the things that correspond to A and B are not preserved. You could call this A prime and this definitely has different coordinates than A and B prime definitely has different coordinates than B. Now, what about corresponding line segments? Are they on the same line? Well, some of them are and some of them aren't. So for example, when we dilate, so let's look at the segment AC and the segment BC, when we dilate, we can see, whoops, when we dilate, we can see the corresponding segments, you could call this A prime C prime or B prime C prime, do still sit on that same line and that's because the point that we are dilating about, point C, sat on those original segments. So we're essentially just lengthening out on the point that is not the center of dilation. We're lengthening out away from it or if the dilation is going in, we would be shortening along that same line but some of the segments are not overlapping on the same line. So for example, A prime B prime does not sit along the same line as AB. Now, what about the angle measures? Well, we already talked about it. Angle measures are preserved under dilations. The measure of angle C here, this is the exact same angle and so is the measure of angle you could call this A prime and B prime right over here. And then finally, what about side lengths? Well, you can clearly see that when I dilate out, my side lengths increase or if I dilate in, my side lengths decrease and so side lengths are not preserved and if side lengths are not preserved then the perimeter is not preserved and also the area is not preserved. You could view area as a function of the side lengths. As we dilate out like this, the perimeter grows and so does the area. If we dilate in like this, the perimeter shrinks and so does the area.

1582887065

**Description**

Imagine that every time you speak, people perceive you as a confident and authoritative leader. Wouldn’t it be nice to know that you can speak in a confident manner and in a way that is instantly understandable and memorable to your audience?

In this How to Speak Like a Leader course you will learn the following:

How to avid the most common speaking blunders that undermine authority

How to increase eye contact with your audience

How to structure your presentation so that you don’t seem like a mid-level bureaucrat

How to prepare in the least amount of time possible

This course is delivered primarily through spoken lecture. Because the skill you are learning is speaking related, it only makes sense that you learn through speaking.

The skill you will learn in this class is not primarily theoretical or academic. It is a skill that requires physical habits. That is why you will be asked to take part in numerous exercises where you record yourself speaking on video, and then watching yourself. Learning presentation skills is like learning how to ride a bicycle. You simply have to do it numerous times and work past the wobbling and falling off parts until you get it right.

This course contain numerous video lectures plus several bonus books for your training library.

TJ Walker has been coaching and training people on their presentation skills for 30 years. Now, through the power of Simpliv’s online platform, he is able to give you the same high quality training that he gives in person to CEOs, Fortune 500 executives, and Presidents of countries. Only you can now receive the training at a tiny fraction of the normal fee for in-person training.

How long this course takes is up to you. The longest part of the course involves you speaking on video, critiquing yourself, and doing it over until you like it. But if you get to the point where you love how you look and sound when you present it will be well worth the time spent. And having this skill will save you time for all future presentations in your life.

You can begin improving your leadership presentation skills right now. You may have an opportunity to speak out as soon as tomorrow, so why waste another day worried that your presentation skills are not up to high standards. Enroll in this course today.

There is a 100% Money-Back Guarantee for this course. And the instructor also provides an enhanced guarantee.

What others say:

“TJ Walker’s single-minded devotion to presentation has made him the #1 expert for executives seeking guidance on speaking to the public and media." Bob Bowdon, Anchor/Reporter, Bloomberg Television

“TJ Walker is the leading media trainer in the world." Stu Miller, Viacom News Producer

(TJ Walker’s Media Training Worldwide) “The world’s leading presentation and media training firm."Gregg Jarrett, Fox News Channel Anchor

Who is the target audience?

Anyone how is a leader or who aspires to be a leader

Leaders who wish to speak more effectively

**Basic knowledge**

Students will need to record themselves speaking using a cellphone camera or webcam

**What will you learn**

Speak with the confidence and authority of a leader

Project competence

Present ideas in an understandable manner

Make your key ideas memorable to your audience

#Leadership and Management Online Courses #Learn Leadership with Online Leadership Courses #Leadership Courses #Online Leadership Course